What is the answer to (-2)/(3b)=75 ?

The answer to (-2)/(3b)=75 is b=-2/225

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(-2)/(3b)=75

\frac{- 2}{3 b} = 75

b = - \frac{2}{225}

Decimal Notation

b = - 0.00888 \dots

Solution steps

\frac{- 2}{3 b} = 75

Simplify

\frac{- 2}{3 b} : - \frac{2}{3 b}

- \frac{2}{3 b} = 75

Multiply both sides by

b

- \frac{2}{3} = 75 b

Switch sides

75 b = - \frac{2}{3}

Divide both sides by

75

b = - \frac{2}{225}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = - \frac{2}{225}

\frac{2500}{( 10 + y ) ^{2}} - 1 = 0

\frac{2 x}{x + 1} = \frac{3 x}{9}

\frac{2}{2} = \frac{x}{x}

y, x = - \frac{w}{y}

\frac{20 - x}{x} - 6 = 3